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Finding the Fourth Proportional to 9,783.59, 14,674.21 and 2,764.13

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Solution

The fourth proportional to 9,783.59, 14,674.21 and 2,764.13 is: 4,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.59 : 14,674.21 = 2,764.13 : x
  2. Step 2: Convert to fraction form
    9,783.59/14,674.21 = 2,764.13/x
  3. Step 3: Cross multiply
    9,783.59x = 14,674.21 × 2,764.13
  4. Step 4: Simplify right side
    9,783.59x = 40,561,359.35
  5. Step 5: Solve for x
    x = 40,561,359.35/9,783.59
  6. Step 6: Final answer
    x = 4,145.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.